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Finding the Fourth Proportional to 1,020.78, 1,407.96 and 628.02

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Solution

The fourth proportional to 1,020.78, 1,407.96 and 628.02 is: 866.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.78 : 1,407.96 = 628.02 : x
  2. Step 2: Convert to fraction form
    1,020.78/1,407.96 = 628.02/x
  3. Step 3: Cross multiply
    1,020.78x = 1,407.96 × 628.02
  4. Step 4: Simplify right side
    1,020.78x = 884,227.04
  5. Step 5: Solve for x
    x = 884,227.04/1,020.78
  6. Step 6: Final answer
    x = 866.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.